Example 9-10 A Uniform Rod, Pivoted at One End A uniform thin rod of length L and mass M is pivoted at one end. It is held horizontal and released. Effects due to friction and air resistance are negligible. Find ( a ) the angular acceleration of the rod immediately following its release, and ( b ) the magnitude of the force F A exerted on the rod by the pivot at this instant. PICTURE The angular acceleration is found from Newton’s second law for rotation ( Equation 9-19 ). The force F A is found from Newton’s second law for a system ( Equation 5-23 ). The tangential acceleration of the center of mass is related to the angular acceleration ( Equation 9-6 ), and the centripetal acceleration of the center of mass is related to the angular speed ( Equation 9-7 ). SOLVE

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